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What is the median? $\newline$ $4, 3, -1, 8, 0, 7, 4, 7, 3$ $\newline$ _____

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Mean, median, mode, and range

Full solution

Q. What is the median?

\newline

4, 3, -1, 8, 0, 7, 4, 7, 3

\newline

_____

Arrange Data Set: Data set: $4, 3, -1, 8, 0, 7, 4, 7, 3$ $\newline$ First, we need to arrange the data set in ascending order to find the median.
Find Median: Arranged data set in ascending order: $-1$ , $0$ , $3$ , $3$ , $4$ , $4$ , $7$ , $7$ , $8$ \ Now that the data is ordered, we can find the median, which is the middle number of the set.
Calculate Median Position: The data set has $9$ numbers, which is an odd number of values. $\newline$ To find the median in an odd-numbered set, we take the middle value, which is the $(n+1)/2$ -th value, where $n$ is the number of values in the set.
Calculate Median: Calculation of the median position: $(9+1)/2 = 10/2 = 5$ The median is the $5$ th number in the ordered set.
Final Result: The $5^{th}$ number in the ordered set is $4$ . Therefore, the median of the given data set is $4$ .

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